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10045518770 = 257535945893
BaseRepresentation
bin10010101101100001…
…00111001110110010
3221221002102020010202
421112300213032302
5131033123100040
64340450155202
7503636333510
oct112660471662
927832366122
1010045518770
114295484a31
121b44282b02
13c41266c61
146b42114b0
153dbda0015
hex256c273b2

10045518770 has 64 divisors (see below), whose sum is σ = 21412304640. Its totient is φ = 3321846528.

The previous prime is 10045518677. The next prime is 10045518779. The reversal of 10045518770 is 7781554001.

It is a happy number.

10045518770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10045518779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195944 + ... + 241836.

It is an arithmetic number, because the mean of its divisors is an integer number (334567260).

Almost surely, 210045518770 is an apocalyptic number.

10045518770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10045518770 is an abundant number, since it is smaller than the sum of its proper divisors (11366785870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10045518770 is a wasteful number, since it uses less digits than its factorization.

10045518770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46019.

The product of its (nonzero) digits is 39200, while the sum is 38.

The spelling of 10045518770 in words is "ten billion, forty-five million, five hundred eighteen thousand, seven hundred seventy".

Divisors: 1 2 5 7 10 14 35 53 59 70 106 118 265 295 371 413 530 590 742 826 1855 2065 3127 3710 4130 6254 15635 21889 31270 43778 45893 91786 109445 218890 229465 321251 458930 642502 1606255 2432329 2707687 3212510 4864658 5415374 12161645 13538435 17026303 18953809 24323290 27076870 34052606 37907618 85131515 94769045 143507411 170263030 189538090 287014822 717537055 1004551877 1435074110 2009103754 5022759385 10045518770